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56590707264 = 2637132733413
BaseRepresentation
bin110100101101000100…
…011010101001000000
312102001220101210022220
4310231010122221000
51411344210113024
641555235131040
74042241034510
oct645504325100
9172056353286
1056590707264
1121aaaa84a63
12ab74143a80
13544b32c700
142a4bb87840
1517132b1e79
hexd2d11aa40

56590707264 has 336 divisors, whose sum is σ = 187888424832. Its totient is φ = 14716256256.

The previous prime is 56590707233. The next prime is 56590707287. The reversal of 56590707264 is 46270709565.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16579222 + ... + 16582634.

Almost surely, 256590707264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56590707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93944212416).

56590707264 is an abundant number, since it is smaller than the sum of its proper divisors (131297717568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56590707264 is a wasteful number, since it uses less digits than its factorization.

56590707264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 56590707264 in words is "fifty-six billion, five hundred ninety million, seven hundred seven thousand, two hundred sixty-four".